Bose-Einstein Condensates in Rotating Traps and Optical ... - BEC

5.1 Density profile, energy and chemical potential 51
ε/ER
7
6
5
4
3
2
1
0
0 5 10 15 20 25 30
Figure 5.2: Results obtained for the chemical potential (5.7) (dash-dotted line) and the energy
per particle (5.8) (dashed line) as a function of lattice depth s for gn/ER =0.5. The solid
line is the single particle energy (gn/ER =0).
(µ − ε)/ε
0.3
0.25
0.2
0.15
0.1
0.05
s
0
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
gn/ER
Figure 5.3: Relative difference (µ − ε)/ε as a function of gn/ER at s =20(solid line). The
dotted line extrapolates the linear behavior at small gn.